1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
asambeis [7]
1 year ago
9

Rationalize the denominator.

Mathematics
1 answer:
AlekseyPX1 year ago
4 0

Hello and Good Morning/Afternoon!

<u>Let's take this problem step-by-step</u>:

<u>What the problem asks for:</u>

  ⇒ to rationalize the denominator

      ⇒ rationalize means that you multiply the numerator and

          demonimator by the denominator

<u>Let's put that into action</u>:

    \frac{\sqrt{a +1}-2 }{\sqrt{a+1}+2 } * \frac{\sqrt{a +1}+2 }{\sqrt{a+1}+2 }\\=\frac{a +1-4 }{a+1+4\sqrt{a+1}+4  } \\=\frac{a-3}{a+4\sqrt{a+1}+5 }<== <u>Answer</u>

<u></u>

Hopefully that helps!

You might be interested in
I need help on this
adoni [48]
I am pretty sure the answer is,

B
4 0
3 years ago
What is the area of the shaded sector of the circle?
oee [108]

Answer:

area if sector= teeta. ×πr²

360

<u>120</u>°. ×<u>2</u><u>2</u>×9×9

360. 7

<u>3×1782</u>

7

5346

5 0
3 years ago
Find the quotient of 3/4 divided by 2/3
MrMuchimi

Answer:

1.125

Step-by-step explanation:

6 0
2 years ago
Jenny has saved $3,800 over the last 12 months. She saved either $250 or $350 a month. During the 12 month period, how many time
Nana76 [90]

Answer:

Jenny save 4 times \$ 250 for the month

Step-by-step explanation:

Given Jenny has saved \$3,800 over the last 12 months.

She saved either \$250 or \$350 a month.

Let the number of months to save \$250 be x

Let the number of months to save \$350 be y

Total period is 12 month.

x+y=12 \ \ \ \ equation\ 1

Jenny has saved $3,800 over the last 12 months.

250x+350y=3800

Dividing both side from 50 we get,

\frac{250}{50}x+\frac{350}{50}y= \frac{3800}{50}

5x+7y=76 \ \ \ \ equation\ 2

Now Multiplying  equation 1 by 5 we get,

5\times(x+y)=5\times 12\\5x+5y=60\ \ \ \ equation \ 3

Now Subtracting Equation 3 by equation 2 we get,

(5x+7y=76)-(5x+5y=60)\\2y=16\\y=\frac{16}{2}= 8

Substituting the value of y in equation 1 we get,

x+y=12\\x+8=12\\x=12-8\\x=4

∴ Jenny save 4 Months of  \$ 250 and 8 Months of  \$ 350in a 12 month duration

4 0
3 years ago
Read 2 more answers
2 over 8 divided by 1 over 2 =
Illusion [34]
Answer: 1 over 2 (1/2)

Simplify 2 over 8 to get 1 over 4. Now you have 1 over 4 divided by 1 over 2. Whenever you divide with fractions you flip the fraction and multiply . So it becomes 1 over 4 multiplied by 2 over 1.

2/8 (divided by) 1/2
1/4 (divided by) 1/2
1/4 x 2/1
= 1/2
7 0
3 years ago
Other questions:
  • What is the area of this shape
    8·1 answer
  • Morten Andersen played in NFL for 25 years write and solve an equation to find how many points he averaged each year
    5·1 answer
  • in a talent competition, half of the contestants are eliminated in each round. At the end of the nth round, 32 contestants remai
    14·1 answer
  • Whats a real world problem for -5 times 5 equals -25
    10·1 answer
  • What equation is equivalent to 3(a+4)-5(a-2)=22
    10·1 answer
  • What is the greatest measure of the given data?
    9·1 answer
  • When you accrue interest , what does that mean? Only answer if you know pls !
    5·1 answer
  • Some of Mr. Edward's students want to buy him a gift. If each of
    9·1 answer
  • Given the conditional relative frequency table by column, what does the 0. 14 represent? Given that a student is a 10th grader,
    10·1 answer
  • Verify commutative property of multiplication and addition 5 4
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!